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Finding the Fourth Proportional to 33,165.42, 45,768 and 18,828

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Solution

The fourth proportional to 33,165.42, 45,768 and 18,828 is: 25,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.42 : 45,768 = 18,828 : x
  2. Step 2: Convert to fraction form
    33,165.42/45,768 = 18,828/x
  3. Step 3: Cross multiply
    33,165.42x = 45,768 × 18,828
  4. Step 4: Simplify right side
    33,165.42x = 861,719,904
  5. Step 5: Solve for x
    x = 861,719,904/33,165.42
  6. Step 6: Final answer
    x = 25,982.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.